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PLEASE HELP! FIRST CORRECT ANSWER WILL MARK BRAINLIEST!
A grocer wishes to blend two different coffee brands in order to make a blend of 400 pounds to sell at $3.00 a pound. If he uses a brand of coffee worth $2.70 a pound with another brand worth $3.20 a pound, how many pounds of each does he use?

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Answer:

160 pounds at 2.70

240 pounds at 3.20

Step-by-step explanation:

Let x be the pounds and 2.70 per pound

400-x is the pounds and 3.20 per pound

there will be 400 pounds and 3.00 per pound

2.70 x + (400-x) *3.20 = 400 *3

Distribute

2.70x +1280-3.20x = 1200

Combine like terms

-.5x +1280 = 1200

Subtract 1280 from each side

-.5x = -80

Divide each side by -.5

x = -80/-/5

x =160

160 pounds at 2.70

400-160 = 240 pounds at 3.20

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